Math, asked by srishti6257, 10 months ago

Divide : 11x² + 19x - 6 by x +2​

Answers

Answered by Anonymous
5

Answer:

The first term is,  11x2  its coefficient is  11 .

The middle term is,  -19x  its coefficient is  -19 .

The last term, "the constant", is  -6 

Step-1 : Multiply the coefficient of the first term by the constant   11 • -6 = -66 

Step-2 : Find two factors of  -66  whose sum equals the coefficient of the middle term, which is   -19 .

     -66   +   1   =   -65     -33   +   2   =   -31     -22   +   3   =   -19   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -22  and  3 

                     11x2 - 22x + 3x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                    11x • (x-2)

              Add up the last 2 terms, pulling out common factors :

                    3 • (x-2)

Step-5 : Add up the four terms of step 4 :

                    (11x+3)  •  (x-2)

             Which is the desired factorization

Step-by-step explanation:

hope it helps

Answered by anupama1568
3

Answer:

I hope it will help you.........

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